509,355

3³ × 5 × 7³ × 11

Prime Factor Structure

Factorization String 3^3 × 5 × 7^3 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Total Divisors 64

Divisor Sum (σ) 1,152,000

Proper Divisor Sum 642,645

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #509329 ← → #509359

1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 343 385 441 495 539 693 735 945 1,029 1,155 1,323 1,485 1,617 1,715 2,079 2,205 2,695 3,087 3,465 3,773 4,851 5,145 6,615 8,085 9,261 10,395 11,319 14,553 15,435 18,865 24,255 33,957 46,305 56,595

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

509,355 1,528,066 764,033 2,292,100 1,146,050 573,025 1,719,076 859,538 429,769 1,289,308 644,654 322,327 966,982 483,491 1,450,474 725,237 2,175,712 1,087,856 543,928 271,964 135,982 67,991 203,974 101,987 305,962 152,981 458,944 229,472 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235

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